EduSahara™ Assignment
Name : Finding Values of Expressions
Chapter : Special Products and Expansions
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
If
(
x
+
1
x
)
=
2
,
find the value of
(
x
2
+
1
x
2
)
(i)
3
(ii)
1
(iii)
5
(iv)
-1
(v)
2
Question
2
2.
If
(
x
+
1
x
)
=
3
,
find the value of
(
x
4
+
1
x
4
)
(i)
47
(ii)
45
(iii)
46
(iv)
48
(v)
50
Question
3
3.
If
(
x
−
1
x
)
=
6
,
find the value of
(
x
2
+
1
x
2
)
(i)
38
(ii)
35
(iii)
37
(iv)
41
(v)
39
Question
4
4.
If
(
x
−
1
x
)
=
7
,
find the value of
(
x
4
+
1
x
4
)
(i)
2601
(ii)
2599
(iii)
2598
(iv)
2600
(v)
2597
Question
5
5.
If
(
x
2
+
1
x
2
)
=
47
,
find the value of
(
x
+
1
x
)
(i)
8
(ii)
7
(iii)
10
(iv)
5
(v)
6
Question
6
6.
If
(
x
4
+
1
x
4
)
=
6239
,
find the value of
(
x
+
1
x
)
(i)
12
(ii)
10
(iii)
9
(iv)
8
(v)
7
Question
7
7.
If
(
x
2
+
1
x
2
)
=
66
,
find the value of
(
x
−
1
x
)
(i)
9
(ii)
6
(iii)
7
(iv)
10
(v)
8
Question
8
8.
If
(
x
4
+
1
x
4
)
=
6887
,
find the value of
(
x
−
1
x
)
(i)
7
(ii)
12
(iii)
8
(iv)
10
(v)
9
Question
9
9.
If
(
x
−
1
x
)
=
2
,
find the value of
(
x
3
−
1
x
3
)
(i)
15
(ii)
14
(iii)
11
(iv)
13
(v)
17
Question
10
10.
If
(
x
+
1
x
)
=
7
,
find the value of
(
x
3
+
1
x
3
)
(i)
321
(ii)
322
(iii)
320
(iv)
325
(v)
323
Question
11
11.
If
(
6
x
+
1
2
x
)
=
9
,
find the value of
(
36
x
2
+
1
4
x
2
)
(i)
76
(ii)
74
(iii)
75
(iv)
73
(v)
78
Question
12
12.
If
(
6
x
−
1
3
x
)
=
2
,
find the value of
(
36
x
2
+
1
9
x
2
)
(i)
11
(ii)
8
(iii)
9
(iv)
6
(v)
7
Question
13
13.
If
(
2
x
−
1
3
x
)
=
4
,
find the value of
(
8
x
3
−
1
27
x
3
)
(i)
70
(ii)
75
(iii)
72
(iv)
73
(v)
71
Question
14
14.
If
(
a
+
b
)
=
5
,
a
b
=
6
, find
(
a
2
+
b
2
)
(i)
14
(ii)
11
(iii)
15
(iv)
12
(v)
13
Question
15
15.
If
(
a
2
+
b
2
)
=
34
,
a
b
=
15
, find
(
a
+
b
)
(i)
8
(ii)
7
(iii)
9
(iv)
5
(v)
10
Question
16
16.
If
(
a
−
b
)
=
3
,
a
b
=
10
, find
(
a
2
−
b
2
)
(i)
18
(ii)
20
(iii)
23
(iv)
21
(v)
22
Question
17
17.
If
(
a
2
−
b
2
)
=
39
,
a
b
=
40
, find
(
a
−
b
)
(i)
3
(ii)
0
(iii)
4
(iv)
2
(v)
5
Question
18
18.
If
(
5
a
+
4
b
)
=
37
,
a
b
=
15
, find
(
25
a
2
+
16
b
2
)
(i)
770
(ii)
766
(iii)
769
(iv)
772
(v)
768
Question
19
19.
If
(
4
a
2
+
49
b
2
)
=
505
,
a
b
=
12
, find
(
2
a
+
7
b
)
(i)
28
(ii)
30
(iii)
29
(iv)
31
(v)
26
Question
20
20.
If
(
a
+
b
)
=
9
,
a
b
=
20
, find
(
a
3
+
b
3
)
(i)
188
(ii)
187
(iii)
189
(iv)
190
(v)
191
Question
21
21.
If
(
a
−
b
)
=
3
,
a
b
=
10
, find
(
a
3
−
b
3
)
(i)
120
(ii)
116
(iii)
115
(iv)
118
(v)
117
Question
22
22.
If
(
6
a
+
4
b
)
=
62
,
a
b
=
35
, find
(
216
a
3
+
64
b
3
)
(i)
82086
(ii)
82089
(iii)
82090
(iv)
82087
(v)
82088
Question
23
23.
If
(
a
+
b
)
=
10
,
a
b
=
24
, find
(
a
4
+
b
4
)
(i)
1555
(ii)
1552
(iii)
1551
(iv)
1549
(v)
1553
Question
24
24.
If
(
a
4
+
b
4
)
=
4112
,
a
b
=
16
, find
(
a
+
b
)
(i)
13
(ii)
11
(iii)
10
(iv)
7
(v)
9
Question
25
25.
If
(
a
−
b
)
=
1
,
a
b
=
20
, find
(
a
4
−
b
4
)
(i)
369
(ii)
370
(iii)
367
(iv)
371
(v)
368
Question
26
26.
If
(
4
a
+
4
b
)
=
36
,
a
b
=
18
, find
(
256
a
4
+
256
b
4
)
(i)
352515
(ii)
352511
(iii)
352510
(iv)
352512
(v)
352513
Question
27
27.
If
(
81
a
4
+
81
b
4
)
=
57186
,
a
b
=
15
, find
(
3
a
+
3
b
)
(i)
23
(ii)
22
(iii)
25
(iv)
26
(v)
24
Question
28
28.
If
(
a
+
b
+
c
)
=
6
,
(
a
2
+
b
2
+
c
2
)
=
14
, find
(
a
b
+
a
c
+
b
c
)
(i)
11
(ii)
12
(iii)
10
(iv)
13
(v)
9
Question
29
29.
If
(
a
+
b
+
c
)
=
6
,
(
a
b
+
a
c
+
b
c
)
=
11
, find
(
a
2
+
b
2
+
c
2
)
(i)
17
(ii)
11
(iii)
15
(iv)
14
(v)
13
Assignment Key
1) (v)
2) (i)
3) (i)
4) (ii)
5) (ii)
6) (iii)
7) (v)
8) (v)
9) (ii)
10) (ii)
11) (iii)
12) (ii)
13) (iii)
14) (v)
15) (i)
16) (iv)
17) (i)
18) (iii)
19) (iii)
20) (iii)
21) (v)
22) (v)
23) (ii)
24) (iii)
25) (i)
26) (iv)
27) (v)
28) (i)
29) (iv)
